In this program, you are provided with phenotype pair counts of F2 offspring at two research institutes. The key different between this work and previous work is that now we consider two genes instead of one. The phenotype pairs are the (shape, color) of peas from a pea plant. It turns out that there are two separate genes that code for these phenotypes. We shall call them Shape and Color. Gregor Mendel originally recorded these experiments in green peas. Using the notation:   R = Round (dominant) allele at Shape gene; r = Wrinkled (recessive) allele at Shape gene; Y = Yellow (dominant) allele at Color gene; y = Green (recessive) allele at Color gene;   then the shape and color of any pea can be determined by studying the genotypes at each gene.   It turns out that, when one mates a plant that is homozygous for the dominant alleles (RRYY) with a plant that is homozygous for the recessive alleles (rryy), the F1 generation are heterozygous at both genes, as with a single gene disorder. It is straightforward to see that phenotype pairs in all F1 peas are (Round, Yellow).   If we cross two F1 pea plants, then, as documented in the slide presentation, we have the phenotype pair ratios (Round,Yellow):(Round,Green):(Wrinkled,Yellow):(Wrinkled,Green) are 9:3:3:1.   In this assignment you are provided with randomly-generated counts of the four phenotype pairs listed above.   Your task is two-fold:   (1) To perform a chi-square goodness of fit test on the F2 observed data at each research institute and report the ChiSquare statistic and the corresponding p-value, under the specification that the ratio of the four phenotype pairs above are 9:3:3:1.   (2) To apply the Fisher Combined P-value Test to the p-values from each research institute and decide whether you reject or do not reject the null hypothesis that the phenotype pair ratios are 9:3:3:1 at each research institute.   RESEARCH INSTITUTE 01   F2 DATA Phenotype Pair (Shape,Color)   (Round,Yellow) (Round,Green) (Wrinkled,Yellow) (Wrinkled,Green) 28 12 5 7   RESEARCH INSTITUTE 02   F2 DATA Phenotype Pair (Shape,Color) (Round,Yellow) (Round,Green) (Wrinkled,Yellow) (Wrinkled,Green) 31 12 18 5

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In this program, you are provided with phenotype pair counts of

F2 offspring at two research institutes. The key different between

this work and previous work is that now we consider two genes instead of one.

The phenotype pairs are the (shape, color) of peas from a pea plant. It turns out

that there are two separate genes that code for these phenotypes. We shall call them

Shape and Color. Gregor Mendel originally recorded these experiments in

green peas. Using the notation:

 

R = Round (dominant) allele at Shape gene;

r = Wrinkled (recessive) allele at Shape gene;

Y = Yellow (dominant) allele at Color gene;

y = Green (recessive) allele at Color gene;

 

then the shape and color of any pea can be determined

by studying the genotypes at each gene.

 

It turns out that, when one mates a plant that is homozygous for the dominant

alleles (RRYY) with a plant that is homozygous for the recessive alleles (rryy),

the F1 generation are heterozygous at both genes, as with a single gene disorder.

It is straightforward to see that phenotype pairs in all F1 peas are (Round, Yellow).

 

If we cross two F1 pea plants, then, as documented in the slide presentation, we have

the phenotype pair ratios (Round,Yellow):(Round,Green):(Wrinkled,Yellow):(Wrinkled,Green)

are 9:3:3:1.

 

In this assignment you are provided with randomly-generated counts

of the four phenotype pairs listed above.

 

Your task is two-fold:

 

(1) To perform a chi-square goodness of fit test on the F2 observed data

at each research institute and report the ChiSquare statistic and

the corresponding p-value, under the specification that the ratio of

the four phenotype pairs above are 9:3:3:1.

 

(2) To apply the Fisher Combined P-value Test to the p-values from each

research institute and decide whether you reject or do not reject

the null hypothesis that the phenotype pair ratios are 9:3:3:1

at each research institute.

 

RESEARCH INSTITUTE 01

 

F2 DATA

Phenotype Pair (Shape,Color)

 

(Round,Yellow) (Round,Green) (Wrinkled,Yellow) (Wrinkled,Green)

28 12 5 7

 

RESEARCH INSTITUTE 02

 

F2 DATA

Phenotype Pair (Shape,Color)

(Round,Yellow) (Round,Green) (Wrinkled,Yellow) (Wrinkled,Green)

31 12 18 5

 

You may make use of the online goodness of fit test calculator for your assignment, as long as you provide the null hypothesis, the statistic value, the degrees of freedom, and the p-value. link to online calculator:

https://www.socscistatistics.com/tests/goodnessoffit/default2.aspx

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